11122132320 has 576 divisors, whose sum is σ = 42971632704. Its totient is φ = 2601123840.

The previous prime is 11122132313. The next prime is 11122132339. The reversal of 11122132320 is 2323122111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11122132293 and 11122132302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33003192 + ... + 33003528.

It is an arithmetic number, because the mean of its divisors is an integer number (74603529).

Almost surely, 2^11122132320 is an apocalyptic number.

11122132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21485816352).

11122132320 is an abundant number, since it is smaller than the sum of its proper divisors (31849500384).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11122132320 is a wasteful number, since it uses less digits than its factorization.

11122132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11122132320 its reverse (2323122111), we get a palindrome (13445254431).

The spelling of 11122132320 in words is "eleven billion, one hundred twenty-two million, one hundred thirty-two thousand, three hundred twenty".